Research Article
Stochastic Interest Model Based on Compound Poisson Process and Applications in Actuarial Science
Table 2
Values of
for different
,
,
, and
under the stochastic interest rate model.
| | | | | | | | | |
| 0.04 | 0.0025 | 1.0 | 17.9990 | 17.5461 | 17.5023 | 17.4587 | 16.7152 | 15.9727 | 1.5 | 18.2774 | 17.5840 | 17.5180 | 17.4525 | 16.3648 | 15.3324 | 2.0 | 18.5662 | 17.6222 | 17.5337 | 17.4463 | 16.0312 | 14.7529 | 2.5 | 18.8659 | 17.6606 | 17.5495 | 17.4401 | 15.7134 | 14.2268 | 3.0 | 19.1768 | 17.6992 | 17.5654 | 17.4339 | 15.4105 | 13.7477 | 0.0030 | 1.0 | 18.1289 | 17.5795 | 17.5266 | 17.4741 | 16.5884 | 15.7219 | 1.5 | 18.4807 | 17.6344 | 17.5546 | 17.4756 | 16.1843 | 14.9951 | 2.0 | 18.8489 | 17.6899 | 17.5828 | 17.4772 | 15.8027 | 14.3480 | 2.5 | 19.2345 | 17.74560 | 17.6112 | 17.4788 | 15.4420 | 13.7695 | 3.0 | 19.6385 | 17.8026 | 17.6398 | 17.4804 | 15.1007 | 13.2501 |
| | Nonrandom | 17.4712 |
| 0.05 | 0.0025 | 1.0 | 16.0694 | 15.7005 | 15.6647 | 15.6291 | 15.0217 | 14.4128 | 1.5 | 16.2953 | 15.7308 | 15.6769 | 15.6235 | 14.7341 | 13.8854 | 2.0 | 16.5293 | 15.7613 | 15.6891 | 15.6178 | 14.4599 | 13.4064 | 2.5 | 16.7718 | 15.7919 | 15.7014 | 15.6122 | 14.1982 | 12.9699 | 3.0 | 17.0232 | 15.8228 | 15.7138 | 15.6066 | 13.9484 | 12.5711 | 0.0030 | 1.0 | 16.1746 | 15.7271 | 15.6840 | 15.6412 | 14.9174 | 14.2062 | 1.5 | 16.4596 | 15.7711 | 15.7060 | 15.6416 | 14.5854 | 13.6064 | 2.0 | 16.7575 | 15.8154 | 15.7281 | 15.6420 | 14.2713 | 13.0702 | 2.5 | 17.0690 | 15.8602 | 15.7504 | 15.6425 | 13.9738 | 12.5888 | 3.0 | 17.3950 | 15.9054 | 15.7729 | 15.6429 | 13.6917 | 12.1547 |
| | Nonrandom | 15.6405 |
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